7th grade math I need help with this
2 answers:
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We're minimizing 
subject to 
. Using Lagrange multipliers, we have the Lagrangian
with partial derivatives
Set each partial derivative equal to 0:
Subtracting the second equation from the first, we find
Similarly, we can determine that
and 
by taking any two of the first three equations. So if 
determines a critical point, then
So the smallest value for the sum of squares is
when 
.
with partial derivatives
Set each partial derivative equal to 0:
Subtracting the second equation from the first, we find
Similarly, we can determine that
So the smallest value for the sum of squares is
Answer:
Step-by-step explanation:
The equation of a parabola in vertex form:
<em>(h, k)</em><em> - vertex</em>
The focus is
We have the vertex (2, -5) and the focus (2, -4).
Calculate the value of <em>a</em> using
<em>k = -5</em>
<em>add 5 to both sides</em>
<em>multiply both sides by 4</em>
Substitute
to the vertex form of an equation of a parabola:
The standard form:
Convert using
<em>use the distributive property: a(b+c)=ab+ac</em>